Problem 17.4. to determine which of two people gets a prize, a coin is flipped twice. if the flips are a head and then a tail, the first player wins. if the flips are a tail and then a head, the second player wins. however, if both coins land the same way, the flips don’t count and the whole process starts over. assume that on each flip, a head comes up with probability p, regardless of what happened on other flips. use the four step method to find a simple formula for the probability that the first player wins. what is the probability that neither player wins?

-First player wins:

-Neither player wins:

Step-by-step explanation:

Applying the 4 step method:

Step 1: Identify events for which probability is to be determined:

- First player wins: First coin is heads, second coin is tails (HT)

- Neither player wins: Both coins are heads or both coins are tails (HH or TT)

Step 2: Calculate total number of possible outcomes:

Four possible outcomes: HH, HT, TT, TH

Step 3: Calculate probability of each event

Since the probability of a coin coming up heads is 'p':

Step 4: Add probability of each event

-First player wins:

-Neither player wins:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!